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Finding the Third Proportional to 67,918,398.75 and 105,913,234.13

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Solution

The third proportional to 67,918,398.75 and 105,913,234.13 is: 165,163,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,918,398.75 : 105,913,234.13 = 105,913,234.13 : x
  2. Step 2: Convert to fraction form
    67,918,398.75/105,913,234.13 = 105,913,234.13/x
  3. Step 3: Cross multiply
    67,918,398.75x = 105,913,234.13 × 105,913,234.13
  4. Step 4: Simplify right side
    67,918,398.75x = 11,217,613,162,817,064
  5. Step 5: Solve for x
    x = 11,217,613,162,817,064/67,918,398.75
  6. Step 6: Final answer
    x = 165,163,098.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.